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Pani-rosa [81]
3 years ago
15

PLEASE HELP!!

Mathematics
2 answers:
Tanya [424]3 years ago
6 0

|−12|>|8| ​hope this helps

musickatia [10]3 years ago
5 0
It is the second one.any number that is negative will be less than a positive since it’s on the other side of a number line
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The distribution of weights of potato chip bags filled off a production line is unknown. However, the mean is m=13.35 OZs and th
Nikitich [7]

Answer:

a) \mu_{\bar X} =13.35

e.none of the above

b) \sigma_{\bar X}= \frac{0.12}{\sqrt{36}}= 0.02

a.0.0200

c) z = \frac{13.32-13.35}{\frac{0.12}{\sqrt{36}}}= -1.5

P(\bar X< 13.32)= P(z

a.0.0668

d) z = \frac{13.30-13.35}{\frac{0.12}{\sqrt{36}}}= -2.5

z = \frac{13.36-13.35}{\frac{0.12}{\sqrt{36}}}= 0.5

P(13.30

c.0.6853

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(13.35,0.12)  

Where \mu=13.35 and \sigma=0.12

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

Part a

\mu_{\bar X} =13.35

Part b

\sigma_{\bar X}= \frac{0.12}{\sqrt{36}}= 0.02

Part c

We want this probability:

P(\bar X< 13.32)

For this case we can use the z score formula given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And using this formula we got:

z = \frac{13.32-13.35}{\frac{0.12}{\sqrt{36}}}= -1.5

P(\bar X< 13.32)= P(z

Part d

We want this probability:

P(13.30

For this case we can use the z score formula given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And using this formula we got:

z = \frac{13.30-13.35}{\frac{0.12}{\sqrt{36}}}= -2.5

z = \frac{13.36-13.35}{\frac{0.12}{\sqrt{36}}}= 0.5

P(13.30

8 0
3 years ago
What is 0.5, 1/5, 0.35, 12/25, 4/5 in order from least to greatest?
Aleks [24]
1/5, 0.35, 12/25, 0.5, 4/5
3 0
3 years ago
Read 2 more answers
A plumber has a 36-in pipe he must cut it into two pieces so that one piece is 14 inches longer than the other how long is each
ioda
The longest piece is 25 inches and the shortest piece is 11 inches.

(36/2) - (14/2) = shortest piece
18 - 7 = 11 (shortest piece)

36 - 11 = 25 (longest piece)

25 - 11 = 14 inches difference between the pieces
3 0
3 years ago
Please help me this I’m running out of time
Ivan

Answer:

I chose 7 as the base and 2 as the Exponent

Step-by-step explanation:

7^2 . 7 is the base and 2 is the Exponent.

Standard Form: 7^2

Expanded Form : 7 • 7 = 49

6 0
3 years ago
A, B, and C are collinear, and B is between A and C. The ratio of AB to BC is 3 : 1.
S_A_V [24]

Coordinates of point C: (1,-1)

Step-by-step explanation:

In this problem, A, B and C are collinear, and B is between A and C.

The ratio AB : BC is 3 : 1.

This means that we can write the following two equations:

x_B-x_A = 3(x_C-x_B)\\y_B-y_A=3(y_X-y_B)

where:

(x_A,y_A)=(-7,3) are the coordinates of point A

(x_B,y_B)=(-1,0) are the coordinates of point B

(x_C,y_C) are the coordinates of point C

Solving the equation for x_C,

x_C = x_B + \frac{x_B-x_A}{3}=-1+\frac{-1-(-7)}{3}=1

Solving the equation for y_C,

y_C=y_B + \frac{y_B-y_A}{3}=0+\frac{0-3}{3}=-1

So, the coordinates of point C are

C(-1,1)

Learn more about how to divide segments:

brainly.com/question/3269852

brainly.com/question/11280112

#LearnwithBrainly

4 0
3 years ago
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